How can we use the derivative f'(x) of a function f(x) to determine where the local max(s) and min(s) are and what the intervals of increasing and decreasing are?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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How can we use the derivative f'(x) of a function f(x) to determine where the local max(s) and min(s) are and what the intervals of increasing and decreasing are? 

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